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Analytical solution for bonded wedges under thermal stresses

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Abstract

After a change in temperature, high stresses leading to destruction may occur in bonded dissimilar materials near the point of the interface line intersection with the edge. In terms of linear elasticity, these high stresses are described by the singular terms of the stress field expansion at the corner point. In the present paper, the explicit representation of the singular terms and exact values of the stress intensity factors in the case of infinite wedge-shaped joint geometry are obtained by the Mellin transform technique. Systematic comparison with the FEM results for samples of finite size has shown that the values of stress intensity factors are in good agreement if the singularity is not too strong (the singularity orders ωk<0.2). With the stronger singularity, the analytical solution is in qualitative agreement with the FEM one, such that it can be used for fast parametrical study of finite samples as well.

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Authors and Affiliations

  1. Kuban State University, P.O.Box 4102, 350080, Krasnodar, Russia

    E.V. Glushkov

  2. Institute for Reliability and Failure Analysis, University of Karlsruhe, Postfach 3640, 76021, Karlsruhe, Germany

    D. Munz & Y.Y. Yang

Authors
  1. E.V. Glushkov
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  2. N.V. Glushkova
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  3. D. Munz
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  4. Y.Y. Yang
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Glushkov, E., Glushkova, N., Munz, D. et al. Analytical solution for bonded wedges under thermal stresses. International Journal of Fracture 106, 321–339 (2000). https://doi.org/10.1023/A:1026551306681

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  • DOI: https://doi.org/10.1023/A:1026551306681

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